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Finding the Fourth Proportional to 1,098.93, 1,516.48 and 601.57

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Solution

The fourth proportional to 1,098.93, 1,516.48 and 601.57 is: 830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.93 : 1,516.48 = 601.57 : x
  2. Step 2: Convert to fraction form
    1,098.93/1,516.48 = 601.57/x
  3. Step 3: Cross multiply
    1,098.93x = 1,516.48 × 601.57
  4. Step 4: Simplify right side
    1,098.93x = 912,268.87
  5. Step 5: Solve for x
    x = 912,268.87/1,098.93
  6. Step 6: Final answer
    x = 830.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.